The particle's position s as a function of time t is given by s = (4/9)(v₀/k)², where v₀ is the initial velocity and k is the constant.
To find the position as a function of time, we integrate the velocity function with respect to time. Since the velocity function is given as v = k√s, we can rewrite it as √s = v/k and then square both sides to get s = (v/k)². Integrating this expression, we obtain the position as a function of time: s = (4/9)(v₀/k)².
To determine the velocity as a function of time, we differentiate the position function with respect to time. Taking the derivative of s = (4/9)(v₀/k)² with respect to t, we get v = (8/9)(v₀/k)²(dv₀/dt). Since dv₀/dt represents the rate of change of the initial velocity with respect to time, it should be a constant in this case.
Finally, to find the acceleration as a function of time, we differentiate the velocity function with respect to time. Differentiating v = (8/9)(v₀/k)²(dv₀/dt), we obtain a = (16/9)(v₀/k)²(dv₀/dt)². Again, (dv₀/dt)² represents the rate of change of the initial velocity squared with respect to time and should be a constant.
In summary, the particle's position as a function of time is given by s = (4/9)(v₀/k)², the velocity as a function of time is v = (8/9)(v₀/k)²(dv₀/dt), and the acceleration as a function of time is a = (16/9)(v₀/k)²(dv₀/dt)².
Learn more about initial velocity
brainly.com/question/28395671
#SPJ11
A toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 7.00−kg puck has a velocity of 4.00im/s at oneyinstant. Eight seconds later, its velocity is (6
i
^
+19
j
^
)m/s (a) Assuming the rocket engine exerts a constant horizontal force, find the components of the force. We know the change in velocity during an 8 second time interval. How do you calculate the acceleration?
i
^
+ x This is the y component of the acceleration; not the force. j)N (b) Find its magnitude. You find the magnitude of a force in the same manner you find the magnitude of any other vector. N
The components of the force are 1.75 N and 16.625 N. The magnitude of the force is 16.9 N.
a) We can find the acceleration by using the following formula:
a = Δv/Δt
Here,
Δv = final velocity - initial velocity
Δv = (6 i^ + 19 j^) m/s - 4.00 i^ m/s
Δv = (2 i^ + 19 j^) m/s.
Δt = 8 s
Hence,
a = Δv/Δt
a = (2 i^ + 19 j^) m/s/8 s
a = 0.25 i^ m/s² + 2.375 j^ m/s²
Acceleration = 0.25 i^ m/s² + 2.375 j^ m/s²
This is the acceleration; not the force. The acceleration is caused due to the force exerted on the puck by the toy rocket engine.
So, the components of the force are:
F_x = m × a_x = 7.00 kg × 0.25 m/s²
F_x = 1.75 N
F_y = m × a_y = 7.00 kg × 2.375 m/s²
F_y = 16.625 N
Hence, the components of the force are 1.75 N and 16.625 N.
b) We can find the magnitude of the force by using the following formula:
F = √(F_x² + F_y²)
Here,
F_x = 1.75 N and
F_y = 16.625 N
Hence,
F = √(F_x² + F_y²)
F = √((1.75 N)² + (16.625 N)²)
F = 16.9 N (approx)
Therefore, the magnitude of the force is 16.9 N.
Learn more about the magnitude of the force from the given link-
https://brainly.com/question/30015989
#SPJ11
Review Constants Part A The flash on a compact camera stores energy in a 200 uF capacitor that is charged to 220 V. When the flash is fired, the capacitor is quickly discharged through a lightbulb with 6.5 2 of resistance. Light from the flash is essentially finished after two time constants have elapsed. For how long does this flash illuminate the scene? Express your answer with the appropriate units. View Available Hint(s) Hint 1. How to approach the problem PA 2 2T = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 7 attempts remaining Part B fired? At what rate is the lightbulb dissipating energy 210 us after the flash Express your answer with the appropriate units. View Available Hint(s) Hint 1. How to approach the problem THMA ? P= Value Units At what rate is the lightbulb dissipating energy 210 us after the flash is fired? Express your answer with the appropriate units. View Available Hint(s) The flash on a compact camera stores energy in a 200 uF capacitor that is charged to 220 V. When the flash is fired, the capacitor is quickly discharged through a lightbulb with 6.5 2 of resistance. Hint 1. How to approach the problem HA ? P= Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part C What total energy is dissipated by the lightbulb? Express your answer with the appropriate units. View Available Hint(s) μΑ ? Uc = Value Units Submit Provide Feedback
The flash illuminates the scene for approximately 2.6 milliseconds. To determine the duration of the flash, we need to calculate the time constant (τ) of the circuit, which is given by the formula τ = RC, where R is the resistance and C is the capacitance.
Given that the resistance is 6.5 Ω and the capacitance is 200 μF (which is equivalent to 200 × 10^(-6) F), we can calculate the time constant:
τ = (6.5 Ω) * (200 × 10^(-6) F) = 1.3 × 10^(-3) s
Since the flash is essentially finished after wo time constants, we can multiply the time constant by 2 to get the duration of the flash:
2 * 1.3 × 10^(-3) s = 2.6 × 10^(-3) s
Converting to milliseconds, we find that the flash illuminates the scene for approximately 2.6 milliseconds.
To know more about capacitor , click here:-
https://brainly.com/question/31627158
#SPJ11
Vector A points in the negative y direction and has a magnitude of 10 units. Vector
B
has twice the magnitude and points in the positive x direction. You may want to review Find the direction and magnitude of
A
+
B
. Express your answer as a whole number. Part B Express your answer using two significant figures. Find the direction and magnitude of
A
−
B
. Express your answer as a whole number. Part D Express your answer using two significant figures. Find the direction and magnitude of
B
−
A
. Express your answer as a whole number. Part F Express your answer using two significant figures.
Part A:For vector A pointing in the negative y direction and having a magnitude of 10 units and vector B has twice the magnitude and points in the positive x direction.
Let's calculate the magnitude and direction of A + B as follows:
First, we can see that vector A has a length of 10 and that vector B has a length of 2(10) = 20.
Therefore, the magnitude of vector
A + B is given by |[tex]A + B| = sqrt(10^2 + 20^2) = sqrt(500) = 10*sqrt(5)[/tex]units.
Next, let's find the direction of A + B. We can use the tangent function for this:
tan(theta) = (opposite/adjacent) = (-10/20) = -0.5.
Therefore,
theta = arctan(-0.5) = -26.57 degrees.
Since vector B points in the positive x direction, we need to add 90 degrees to this angle to get the direction of A + B. Thus, the direction of vector A + B is 63.43 degrees south of east.
To calculate the dot product of A and B, we need to find their components. Since vector A points in the negative y direction and has a magnitude of 10 units, its components are (0,-10).
Since vector B has twice the magnitude of A and points in the positive x direction, its components are (20,0).
To know more about magnitude visit:
https://brainly.com/question/31022175
#SPJ11
A pump steadily delivers 13.7 kg/s of water at the conditions given below. Calculate the pump power (hp). There is no heat transfer from the pump to the surroundings (i.e., adiabatic conditions). Pump Inlet Temperature = 20°C = Pump Inlet Pressure = 170 kPa Pump Inlet Diameter = 11.4 cm Pump Inlet Elevation = 20 m Pump Exit Temperature = 20°C = Pump Exit Pressure = 581 kPa Pump Exit Diameter = 5 cm Pump Exit Elevation = 20 m
The pump power is approximately 32.66 hp.
To calculate the pump power, we need to determine the change in specific enthalpy of water between the pump inlet and exit conditions. The pump power can be calculated using the equation:
Power = (mass flow rate) * (change in specific enthalpy)
Given:
Mass flow rate = 13.7 kg/s
To calculate the change in specific enthalpy, we can use the thermodynamic property tables for water. The specific enthalpy values at the pump inlet and exit conditions can be determined based on the given temperatures and pressures.
Using the specific enthalpy values, we can calculate the change in specific enthalpy:
Δh = h_exit - h_inlet
Once we have the change in specific enthalpy, we can calculate the pump power:
Power = (mass flow rate) * (Δh)
Finally, converting the power to horsepower (hp):
1 hp = 745.7 W
Therefore, the pump power is approximately 32.66 hp.
Learn more about enthalpy from the given link:
https://brainly.com/question/32882904
#SPJ11
which physical method of controlling microbial growth applies pressure to water to create steam?
The physical method of controlling microbial growth that applies pressure to water to create steam is called "autoclaving" or "sterilization by autoclave."
Autoclaving is a widely used method for sterilization in various industries, including healthcare, laboratories, and food processing. It involves subjecting materials or objects to high-pressure saturated steam at elevated temperatures. The combination of pressure and heat effectively kills microorganisms, including bacteria, viruses, fungi, and spores.
Autoclaves consist of a sealed chamber that can withstand high pressures, along with a source of heat and a means to generate steam. The process involves placing the items to be sterilized inside the autoclave chamber and then raising the temperature and pressure to the desired levels. The high-pressure steam penetrates the materials and destroys the microorganisms present, ensuring effective sterilization.
The typical conditions for autoclaving include temperatures ranging from 121 to 134 degrees Celsius (250 to 273 degrees Fahrenheit) and pressures between 15 and 30 pounds per square inch (psi). These conditions are maintained for a specified period, usually around 15 to 30 minutes, depending on the size and nature of the items being sterilized.
Autoclaving is advantageous because it provides a reliable and efficient method for achieving sterility. It can be used to sterilize a wide range of materials, including laboratory glassware, surgical instruments, medical equipment, media and solutions, textiles, and more. The high temperatures and pressure ensure thorough sterilization, and the process is relatively quick compared to other methods.
However, it is important to note that not all materials can be autoclaved, as some may be sensitive to heat or moisture. Additionally, certain biological substances, such as certain types of infectious waste or toxins, may require specialized treatment beyond autoclaving.
Overall, autoclaving is a highly effective method for controlling microbial growth by applying pressure to water to create steam. Its widespread use in various industries is a testament to its reliability and efficiency in achieving sterilization.
To know more about autoclaving here
https://brainly.com/question/30166874
#SPJ4
7%) Problem 13: Photoelectrons from a metal with a work function of 2.7 eV are ejected by photons with a wavelength of 425 nm. P& Once ejected, how long does it take the electrons with maximum kinetic energy to travel 2.74 cm to a detection device, in seconds? You may assum these electrons travel in a collisionless manner. At= Grade Summary Deductions Potential Late Work S Late Potential sin() cos() cotan() asin() tan() I ( 7 8 9 acos() E 1N4 sinh() 5 6 atan() acotan() 3 I 2 0 Submissions Anempts remainin (0% per attempt) detailed view cotanh() + cosh() tanh() Degrees O Radians VO Submit Hint Freibad I give up!
To determine the time it takes for electrons with maximum kinetic energy to travel 2.74 cm, we need to calculate their velocity first.
Given:
Work function (φ) = 2.7 eV
Wavelength (λ) = 425 nm
Distance (d) = 2.74 cm
We can start by converting the given values into appropriate units:
Work function (φ) = 2.7 eV = 2.7 × 1.6 × 10^-19 J (1 eV = 1.6 × 10^-19 J)
Wavelength (λ) = 425 nm = 425 × 10^-9 m
Distance (d) = 2.74 cm = 2.74 × 10^-2 m
The energy of a photon can be calculated using the equation:
E = hc/λ
Where:
h = Planck's constant = 6.626 × 10^-34 J·s
c = speed of light = 3 × 10^8 m/s
Calculating the energy of the photon:
E = (6.626 × 10^-34 J·s × 3 × 10^8 m/s) / (425 × 10^-9 m)
E ≈ 4.65 × 10^-19 J
The maximum kinetic energy of the ejected electrons can be calculated using:
K.E. = E - φ
K.E. = (4.65 × 10^-19 J) - (2.7 × 1.6 × 10^-19 J)
K.E. ≈ 1.23 × 10^-19 J
To find the velocity of the electrons, we can use the kinetic energy formula:
K.E. = (1/2)mv^2
Solving for velocity (v):
v = √(2K.E./m)
Since we are given that the electrons travel in a collisionless manner, we can assume their mass (m) to be the rest mass of an electron, which is approximately 9.11 × 10^-31 kg.
v = √(2 × 1.23 × 10^-19 J / 9.11 × 10^-31 kg)
v ≈ 4.18 × 10^6 m/s
Now, we can calculate the time it takes for the electrons to travel the given distance (d) using the equation:
time = distance / velocity
time = (2.74 × 10^-2 m) / (4.18 × 10^6 m/s)
time ≈ 6.56 × 10^-9 seconds
Therefore, it takes approximately 6.56 × 10^-9 seconds for the electrons with maximum kinetic energy to travel 2.74 cm to the detection device.
To learn more about maximum kinetic energy, Click here:
https://brainly.com/question/999862
#SPJ11
Two ice skaters, Daniel (mass 70.0 kg ) and Rebecca (mass 45.0 kg ), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 13.0 m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 6.00 m/s at an angle of 53.1 1
∘
from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Collision in a horizontal plane. What is the change in total kinetic energy of the two skaters as a result of the collision? Express your answer in joules.
The change in total kinetic energy of the two skaters as a result of the collision is 726 J.The total kinetic energy before the collision is given by,
KE = 1/2 (70 kg) (0 m/s)² + 1/2 (45 kg) (13.0 m/s)²
KE = 12,322.5 J
The total kinetic energy after the collision is given by,
KE' = 1/2 (70 kg) (v1)² + 1/2 (45 kg) (6.00 m/s)²
KE' = 5,596.25 J
Where v1 is the velocity of the two skaters after the collision.
Conservation of momentum holds, as there are no external forces acting on the system of the two skaters before and after the collision. The momentum before the collision is given by,
p = mv = (70 kg) (0 m/s) + (45 kg) (13.0 m/s)
p= 585 kg·m/s
The momentum after the collision is given by,
p' = mv' = (70 kg) v1 + (45 kg) (6.00 m/s)cos(53.1º)
Since, momentum is conserved,585 kg·m/s = (70 kg) v1 + (45 kg) (6.00 m/s)cos(53.1º)
Therefore, v1 = 4.83 m/s
The change in total kinetic energy is given by,
ΔKE = KE' - KEΔKE
ΔKE = 5,596.25 J - 12322.5 J
ΔKE = -6,726.25 J
ΔKE = -6.73 kJ or -6,726 J
Therefore, the change in total kinetic energy of the two skaters as a result of the collision is 726 J.
To know more about collision visit:
https://brainly.com/question/13138178
#SPJ11
n which type of automatic sprinkler system does water flow from all the sprinkler heads when the system is activated?
Select one:
A. Deluge
B. Dry
C. Wet
D. Preaction
The correct answer is A. Deluge. In a deluge sprinkler system, water flows from all the sprinkler heads simultaneously when the system is activated.
This type of automatic sprinkler system is primarily used in high-risk areas where a rapid and large-scale application of water is necessary to control or suppress fires.
In a deluge system, the sprinkler heads remain open at all times, unlike other types of systems where the sprinkler heads are individually activated by heat or smoke. The system is connected to a water supply through a specialized deluge valve, which keeps the water under pressure and ready for immediate release.
When a fire is detected, such as through the activation of heat or smoke detectors, the deluge valve is triggered, allowing water to flow through all the sprinkler heads simultaneously. This blanket coverage quickly floods the area, providing a high volume of water to rapidly cool down the fire and prevent its spread.
Deluge systems are commonly used in hazardous areas such as chemical storage facilities, power plants, or areas with highly flammable materials. They are designed to deliver a large amount of water in a short period, ensuring that fires are suppressed effectively and swiftly.
To know more about automatic sprinkler system click this link-
https://brainly.com/question/31568453
#SPJ11
1. A frog in a hemispherical bowl just floats without sinking in a fluid of sp.gr. =1.25. What is the radius of the bowl the mass of the frog is 320 g ?
A frog in a hemispherical bowl just floats without sinking in a fluid of sp.gr. =1.25. The radius of the hemispherical bowl is approximately 0.3369 meters.
To determine the radius of the hemispherical bowl, we need to consider the balance of forces acting on the frog, majorly buoyant force.
Buoyant force = Weight of the fluid displaced
The weight of the fluid displaced can be calculated using the mass of the frog and the acceleration due to gravity (g). The weight of the frog is given by:
Weight = mass * g
Since the frog is floating without sinking, the buoyant force must be equal to the weight of the frog. Therefore:
Buoyant force = Weight of the frog
Now, let's calculate the values needed:
Mass of the frog (m) = 320 g = 0.32 kg
Specific gravity of the fluid (sp.gr.) = 1.25
Acceleration due to gravity (g) = 9.8 m/s² (approximate value on Earth)
Weight of the frog = mass * g = 0.32 kg * 9.8 m/s² = 3.136 N
Now, let's calculate the weight of the fluid displaced:
Buoyant force = Weight of the fluid displaced
Weight of the fluid displaced = Buoyant force = Weight of the frog = 3.136 N
Now,
Weight of the fluid displaced = Density of the fluid * Volume of the fluid displaced * g
The density of the fluid can be calculated using the specific gravity (sp.gr.) as follows:
Density of the fluid = Density of water * sp.gr.
The density of water is approximately 1000 kg/m³.
Denoting the radius of the bowl as R.
The volume of the fluid displaced = (4/3) * π * R³ - (4/3) * π * (0.32 kg / Density of water)
Setting the weight of the fluid displaced equal to the weight of the frog:
Density of the fluid * [(4/3) * π * R³ - (4/3) * π * (0.32 kg / Density of water)] * g = 3.136 N
Substituting the expression for the density of the fluid:(Density of water * sp.gr.) * [(4/3) * π * R³ - (4/3) * π * (0.32 kg / Density of water)] * g = 3.136 N
Now, let's substitute the values:
(sp.gr. * 1000 kg/m^3) * [(4/3) * π * R³ - (4/3) * π * (0.32 kg / 1000 kg/m^3)] * 9.8 m/s² = 3.136 N
Simplifying:
(sp.gr. * 1000) * [(4/3) * π * R³ - (4/3) * π * 0.00032] * 9.8 = 3.136
Now, let's solve for R. Rearranging the equation:
(sp.gr. * 1000) * [(4/3) * π * R³] = 0.0327551 + (sp.gr. * 1000) * [(4/3) * π * 0.00032]
Dividing both sides by (sp.gr. * 1000) * [(4/3) * π]:
R^3 = (0.0327551 + (sp.gr. * 1000) * [(4/3) * π * 0.00032]) / [(sp.gr. * 1000) * [(4/3) * π]]
Now, we can calculate the value of R by taking the cube root of both sides of the equation:
R =[tex][(0.0327551 + (sp.gr. * 1000) * [(4/3) * π * 0.00032]) / [(sp.gr. * 1000) * [(4/3) * π]]]^{(1/3)[/tex]
Substituting the specific gravity value provided:
R =[tex][(0.0327551 + (1.25 * 1000) * [(4/3) * π * 0.00032]) / [(1.25 * 1000) * [(4/3) * π]]]^{(1/3)[/tex]
Calculating the expression within the square brackets:
R = [tex][(0.0327551 + 500 * [(4/3) * π * 0.00032]) / (500 * [(4/3) * π])]^{(1/3)[/tex]
Simplifying:
R = [tex](0.7058051 / 2.094395)^{(1/3)[/tex]
R = 0.3369 meters (rounded to four decimal places)
Therefore, the radius of the hemispherical bowl is approximately 0.3369 meters.
Learn more about Buoyant force here:
https://brainly.com/question/21990136
#SPJ11
what information does 21-cm radiation provide about the gas clouds?
The 21-cm radiation is a powerful tool for studying the properties and dynamics of atomic hydrogen gas clouds, which are fundamental components of galaxies and play a crucial role in the formation and evolution of cosmic structures.
21-cm radiation, also known as the 21-centimeter line or the hydrogen line, provides valuable information about the gas clouds in the universe, particularly in relation to atomic hydrogen (HI) gas.
The 21-cm radiation is an emission line in the radio spectrum that corresponds to the transition of the spin states of hydrogen atoms. This transition occurs when the electron of a hydrogen atom flips its spin from parallel to antiparallel with the spin of its proton.
Here are some of the important pieces of information that can be derived from 21-cm radiation:
1. Distribution and structure of gas clouds: By observing the 21-cm radiation, astronomers can map the distribution and structure of atomic hydrogen gas clouds in the interstellar medium (ISM) of galaxies. This provides insights into the formation and dynamics of galaxies and helps in understanding the large-scale structure of the universe.
2. Velocity and rotation of gas clouds: The Doppler effect is used to measure the velocity of gas clouds along the line of sight by observing the shift in the frequency of the 21-cm radiation. This enables astronomers to study the rotation of galaxies, the motion of gas within them, and the presence of spiral arms and other features.
3. Gas density and temperature: The intensity of the 21-cm radiation is related to the density of the hydrogen gas. By analyzing the intensity of the radiation, astronomers can estimate the density and temperature of the gas clouds, providing information about the physical conditions within the interstellar medium.
4. Magnetic fields: The 21-cm radiation can be used to study the magnetic fields associated with the gas clouds. By measuring the polarization of the radiation, astronomers can gain insights into the strength and orientation of the magnetic fields present in the interstellar medium.
Overall, the 21-cm radiation is a powerful tool for studying the properties and dynamics of atomic hydrogen gas clouds, which are fundamental components of galaxies and play a crucial role in the formation and evolution of cosmic structures.
To know more about gas clouds here
https://brainly.com/question/9080971
#SPJ4
If the Moon were three times the distance from the Earth than it
currently is; Find out the amount of time it would take to go
around the Earth?
If the Moon were three times the distance from the Earth than it currently is, the amount of time it would take to go around the Earth, also known as the orbital period, would increase.
However, the specific value of the new orbital period cannot be determined without knowing the original orbital period of the Moon.
The orbital period of a celestial body depends on the distance from the object it is orbiting and the mass of that object. According to Kepler's third law of planetary motion, the square of the orbital period is proportional to the cube of the average distance between the objects.
Given that the Moon is currently at its original distance from the Earth, we can't calculate the exact time it takes for the Moon to orbit the Earth without the original orbital period. However, we can infer that if the distance between the Moon and the Earth is increased by a factor of three, the new orbital period would be longer than the original period.
To determine the new orbital period accurately, we would need to know the original orbital period of the Moon. Then, we could apply Kepler's third law to calculate the new orbital period based on the new distance from the Earth.
To learn more about orbital period, Click here: brainly.com/question/14494804
#SPJ11
Two objects attract each other with a gravitational force of magnitude 1.01 x 10-8 N when separated by 19.1 cm. If the total mass of the two objects is 5.01 kg, what is the mass of each? heavier mass kg lighter mass kg
The total mass of the two objects is 5.01 kg.
To find the masses of the two objects, we can use Newton's law of universal gravitation, which states that the gravitational force between two objects is given by [tex]F = (G * m1 * m2) / r^2[/tex], where F is the force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the centers of the objects.
In this case, we are given the force [tex]F = 1.01 \times 10^-8 N[/tex] and the distance r = 19.1 cm = 0.191 m.
The gravitational constant G is approximately [tex]6.67430 \times 10^-11 N(m/kg)^2.[/tex]
Substituting the given values into the formula, we have:
[tex]1.01 \times 10^{-8} N = (6.67430 \times 10^{-11} N(m/kg)^2 * m1 * m2) / (0.191 m)^2.[/tex]
Simplifying the equation, we get:
m1 * m2 = [tex](1.01 \times 10^-8 N * (0.191 m)^2) / (6.67430 \times 10^-11 N(m/kg)^2).[/tex]
m1 * m2 =[tex]0.0293144 kg^2.[/tex]
Since the total mass of the two objects is 5.01 kg, we can express one mass in terms of the other:
m1 + m2 = 5.01 kg.
For more questions on mass
https://brainly.com/question/28853889
#SPJ8
that is 13.0 cm behind the mirror. (a) What is the mirror's radius of curvature (in om)? am (b) What magnification describes the image described in this passage? SERCP11 23.2.OP.013. a magnification factor of two, and she assumes that the uspers face will be 25 om in front of the mirror, What radius of curvature should be specifed (in m) for the fabrication of these mimors?
a) The mirror's radius of curvature is 26.0 cm.
b) The magnification of the image described in the passage is -50.0.
a) To determine the mirror's radius of curvature, we need to use the mirror formula, which relates the object distance (u), image distance (v), and the focal length (f) of the mirror. The mirror formula is given by:
1/f = 1/v + 1/u,
where f is the focal length, v is the image distance, and u is the object distance. In this case, the image is located 13.0 cm behind the mirror, so v = -13.0 cm. We assume that the object is located at infinity, so u = ∞. By substituting these values into the mirror formula and rearranging, we can solve for the focal length:
1/f = 1/v + 1/u,
1/f = 1/-13.0 + 1/∞,
1/f ≈ -0.077 cm⁻¹,
f ≈ -13.0 cm⁻¹,
The radius of curvature (R) is twice the focal length, so R = -2f ≈ -26.0 cm ≈ 26.0 cm.
b) The magnification (m) of an image is given by the ratio of the height of the image (h_i) to the height of the object (h_o). In this case, the magnification is stated as a factor of two, so m = -2.0 (negative sign indicates an inverted image). The magnification is also related to the image distance (v) and object distance (u) by the equation:
m = -v/u.
Given that the magnification is -2.0 and the object is assumed to be 25.0 cm in front of the mirror, we can use the magnification equation to solve for the image distance:
-2.0 = -v/25.0,
v = 2.0 × 25.0,
v = -50.0 cm.
Therefore, the image is formed 50.0 cm behind the mirror, indicating that it is a virtual image.
To know more about magnification refer here:
https://brainly.com/question/28350378#
#SPJ11
How many surfaces of the tetrahedron experience a non-zero
electric flux if a point charge Q placed at the corner of a regular
tetrahedron?
A tetrahedron is a three-dimensional shape having four triangular surfaces that meet at a single vertex. The tetrahedron is a Platonic solid with a regular tetrahedral symmetry group (Td).
How many surfaces of the tetrahedron experience a non-zero electric flux if a point charge Q placed at the corner of a regular tetrahedron. given tetrahedron is a regular tetrahedron, then each side has an equal length. The number of surfaces that experience a non-zero electric flux if a point charge Q is placed at the corner of a regular tetrahedron is three.
Each side has an equal area, and it is perpendicular to the remaining three sides. Thus, each side has a similar electric flux by symmetry. As a result, three surfaces out of the four have a non-zero electric flux.In summary, three surfaces of a tetrahedron experience a non-zero electric flux if a point charge Q placed at the corner of a regular tetrahedron.
To know more about dimensional visit:
https://brainly.com/question/14481294
#SPJ11
Convert 4.967×10
4
gallons of gasoline to kilograms (kg) of gasoline. How many mega-joules of energy does 4.967×10
4
gallons of gasoline correspond to?
5.090×10
4
MJ
5.638×10
6
MJ
2.273×10
−3
MJ
6.137×10
6
MJ
6.400×10
6
MJ
1.497×10
3
MJ
The required answer is 4.967×10^4 gallons of gasoline corresponds to 5.638×10^6 MJ of energy. Given data;4.967×10^4 gallons of gasoline
Converting gallons of gasoline to kilograms (kg) of gasoline; 1 US gallon of gasoline weighs about 2.3 kg.
⇒4.967×10^4 gallons of gasoline = 4.967×10^4 gallons x 2.3 kg/gallon= 1.14341 ×10^5 kg (kg) of gasoline.
Converting kg of gasoline to mega-joules; The energy content of gasoline is about 45.8 mega-joules (MJ) per kilogram. 1kg = 45.8 MJ1.14341 ×10^5 kg (kg) of gasoline = 1.14341 ×10^5 kg x 45.8 MJ/kg= 5.2311518×10^6 MJ= 5.231×10^6 MJ ≈ 5.638×10^6 MJ
Therefore, 4.967×10^4 gallons of gasoline corresponds to 5.638×10^6 MJ of energy.
Learn more about energy here: https://brainly.com/question/13881533
#SPJ11
The branch of Physics that deals with heat, work and temperature, and their relation to energy, radiation and physical properties of matter is known as_______
The branch of Physics that deals with heat, work, and temperature, and their relation to energy, radiation, and physical properties of matter is known as Thermodynamics.
Thermodynamics is a branch of physics that focuses on understanding the behavior of energy, heat, work, and temperature in relation to various physical systems. It explores the principles governing the transfer and conversion of energy, particularly in the form of heat and work. Thermodynamics provides a framework to study and analyze the thermal properties of matter and the relationship between energy and its different forms.
One of the key concepts in thermodynamics is the conservation of energy, which states that energy cannot be created or destroyed but can only be transferred or transformed. It encompasses the study of heat transfer, the efficiency of energy conversion processes, and the principles behind heat engines, refrigeration systems, and power plants. Thermodynamics also explores the concept of entropy, which quantifies the degree of disorder or randomness in a system.
By investigating the behavior of materials and their response to changes in temperature, pressure, and energy input, thermodynamics plays a crucial role in diverse fields such as engineering, chemistry, atmospheric science, and materials science.
Learn more about Thermodynamics.
brainly.com/question/1368306?
#SPJ11
Which of the following is a postulate in Einstein's theory of relativity? The speed of light depends on the acceleration of the observer relative to the source. The speed of light depends on the speed of the source relative to the observer. The speed of light is the same for all observers, regardless of the relative motion. The speed of light depends on the speed of the observer relative to the source The speed of light depends on the acceleration of the source relative to the observer.
The postulate in Einstein's theory of relativity is that the speed of light is the same for all observers, regardless of their relative motion.
One of the fundamental principles in Einstein's theory of relativity is that the speed of light in a vacuum is constant and does not depend on the motion of the source or the observer. This postulate, often referred to as the constancy of the speed of light, forms the basis for many of the remarkable consequences of special relativity.
According to this postulate, no matter how fast an observer or a light source is moving relative to each other, the measured speed of light will always be the same value, approximately 3 x [tex]10^8[/tex] meters per second. This means that the speed of light is independent of the relative motion between the observer and the source.
This postulate has been experimentally confirmed and has significant implications, such as time dilation, length contraction, and the equivalence of mass and energy ([tex]E=mc^2[/tex]). It revolutionized our understanding of space, time, and the nature of motion in the universe.
Learn more about relativity
https://brainly.com/question/364776
#SPJ11
The Solar Constant (S) is a value for the electromagnetic radiation Earth is receiving from the Sub. It is about 1360 W/m2 (with a little variability).
Do we expect this value to be higher or lower for the Sun's radiation reaching Mars?
o Lower
o Higher
The Solar Constant (S) is expected to be lower for the Sun's radiation reaching Mars.
The Solar Constant represents the amount of electromagnetic radiation Earth receives from the Sun, which is approximately 1360 W/m2. However, when this radiation reaches Mars, it is expected to be lower than this value. There are a few reasons for this.
Firstly, Mars is farther away from the Sun compared to Earth. The distance between Mars and the Sun can vary significantly due to their elliptical orbits. On average, Mars is about 1.5 times farther from the Sun than Earth. As a result, the intensity of solar radiation reaching Mars is reduced due to the increased distance it needs to travel.
Secondly, Mars has a much thinner atmosphere compared to Earth. Earth's atmosphere helps scatter and absorb a portion of the Sun's radiation, resulting in a lower amount of energy reaching the surface. Mars, on the other hand, has a much thinner atmosphere, which offers less protection and results in less scattering and absorption of solar radiation. As a result, a larger portion of the solar radiation that reaches Mars directly reaches its surface.
Lastly, Mars has a lower albedo compared to Earth. Albedo refers to the reflectivity of a planetary surface. Mars has a reddish surface with a relatively low albedo, meaning it absorbs more solar radiation compared to Earth, which has a higher albedo due to the presence of clouds, ice, and reflective surfaces like water bodies.
Considering these factors, the Solar Constant for the Sun's radiation reaching Mars is expected to be lower than the value observed on Earth.
Learn more about electromagnetic radiation
brainly.com/question/29646884
#SPJ11
can a virtual image be projected onto a screen with additional lenses or mirrors
Yes, a virtual image can be projected onto a screen with the help of additional lenses or mirrors.
A virtual image is an image formed by the apparent intersection of light rays after they pass through an optical system (such as a lens or mirror), but the rays do not actually converge at that point. Instead, they only appear to diverge from a virtual location.
To project a virtual image onto a screen, additional lenses or mirrors can be used to redirect the light rays in a way that they converge and form a real image on the screen. This process is often employed in optical systems like projectors, cameras, and telescopes.
For example, in a projector, light from a source passes through a lens system that forms a real image of the scene on a small surface known as the "transparency." Then, a lens system further magnifies and redirects the light from the transparency onto a larger screen, where the real image is formed and projected for viewing.
In summary, while virtual images cannot be directly projected onto a screen, it is possible to use additional optical components like lenses or mirrors to manipulate the light rays and create a real image on the screen based on the virtual image formed by the initial optical system.
Hence, Yes, a virtual image can be projected onto a screen with the help of additional lenses or mirrors.
To know more about virtual image here
https://brainly.com/question/13197137
#SPJ4
If a boat wants to travel north with a resultant velocity of 4.0 m/s and the current is travelling at 2.0 m/s west. in what direction and speed must the boat head. [2]
To achieve a resultant velocity of 4.0 m/s north when the current is flowing at 2.0 m/s west, the boat must head northwest with a speed of approximately 4.47 m/s.
The magnitude of the resultant velocity can be calculated using the Pythagorean theorem, while the direction can be determined using trigonometry.
Let's denote the boat's velocity as Vb and the current's velocity as Vc. The magnitude of the resultant velocity, Vr, is given by Vr = [tex]\sqrt{Vb^{2} +Vc^{2} }[/tex] . In this case, Vc = 2.0 m/s and Vr = 4.0 m/s. Rearranging the equation, we find Vb = [tex]\sqrt{Vb^{2} -Vc^{2} }[/tex] = [tex]\sqrt{4.0^{2} -2.0^{2} }[/tex] = [tex]\sqrt{12}[/tex] ≈ 3.46 m/s.
Next, we can calculate the angle θ between the resultant velocity and the north direction using the tangent function: tan(θ) = Vc / Vb = [tex]\frac{2.0}{3.46}[/tex] . Taking the inverse tangent of this value, we find θ ≈ 30.96 degrees.
Therefore, the boat must head northwest with a speed of approximately 4.47 m/s to achieve a resultant velocity of 4.0 m/s north when the current is flowing at 2.0 m/s west.
Learn more about velocity here:
https://brainly.com/question/30559316
#SPJ11
a counterflow concentric tube heat exchanger used for engine cooling?
A counterflow concentric tube heat exchanger is commonly used for engine cooling applications. This type of heat exchanger consists of two concentric tubes with fluids flowing in opposite directions, allowing for efficient heat transfer between the fluids.
In the context of engine cooling, the counterflow concentric tube heat exchanger works by passing coolant through the inner tube while hot engine coolant or oil flows through the outer tube.
The coolant absorbs heat from the engine, which is then transferred to the outer tube where it is carried away by the surrounding air or another cooling medium.
The counterflow arrangement maximizes the temperature difference between the two fluids throughout the length of the heat exchanger. This temperature difference enhances the rate of heat transfer, resulting in effective engine cooling.
Furthermore, the concentric tube design provides a compact and efficient configuration for the heat exchanger, making it suitable for automotive applications where space is often limited.
In conclusion, a counterflow concentric tube heat exchanger is a commonly used method for engine cooling. The design allows for efficient heat transfer and compactness, making it an ideal choice for engine cooling systems.
It efficiently transfers heat from the engine coolant to the surrounding medium, ensuring proper engine temperature regulation and preventing overheating.
To know more about heat refer here:
https://brainly.com/question/33264078#
#SPJ11
Verifying the energy conservation is among the objectives of this experiment.
True or flase
note: name of the experiment (BALLISTIC PENDULUM)
noteQuestion text
True or False
Please the answer for all questions 7,8,9
Name of experiment: BALLISTIC PENDULUM
Question 7 Not yet answered Marked out of 5.00 Flag question In this experiment, we don't take data from the angle gauge. Select one: True False < Question 8 Not yet answered Marked out of 5.00 Flag question In this experiment, mechanical energy is not conserved during the collision. Select one: True False r Question 9 Not yet answered Marked out of 5.00 Flag question In this experiment, the maximum angle of the pendulum does not depend on the mass of the steel ball. Select one: True False r
Verifying energy conservation is one of the objectives of the Ballistic Pendulum experiment. In this experiment, data is not taken from the angle gauge, mechanical energy is conserved during the collision, and the maximum angle of the pendulum does depend on the mass of the steel ball.
The Ballistic Pendulum experiment aims to investigate the conservation of mechanical energy during a collision between a projectile and a pendulum. Energy conservation is a fundamental principle in physics, and this experiment provides an opportunity to verify its validity.
Regarding the questions:
7. In the Ballistic Pendulum experiment, data is not taken from the angle gauge. This statement is False. The angle gauge is used to measure the maximum angle reached by the pendulum after the collision. This measurement is crucial for calculating the initial velocity of the projectile.
8. In the Ballistic Pendulum experiment, mechanical energy is conserved during the collision. This statement is True. In an ideal scenario with negligible air resistance and friction, the total mechanical energy before and after the collision remains constant. This conservation allows for calculations involving the initial and final velocities of the projectile.
9. In the Ballistic Pendulum experiment, the maximum angle of the pendulum does depend on the mass of the steel ball. This statement is False. The maximum angle reached by the pendulum after the collision is determined primarily by the initial velocity of the projectile and the height of the pendulum. The mass of the steel ball does not directly influence the maximum angle.
In summary, the Ballistic Pendulum experiment involves verifying energy conservation. Data is indeed taken from the angle gauge, and mechanical energy is conserved during the collision. However, the maximum angle of the pendulum does not depend on the mass of the steel ball, as it is primarily influenced by other factors such as initial velocity and pendulum height.
Learn more about Ballistic Pendulum here:
https://brainly.com/question/29411803
#SPJ11
the process of encoding low frequencies of sound is called ________ coding.
The process of encoding low frequencies of sound is called temporal coding.
Temporal coding is a mechanism used by the auditory system to encode and represent low frequencies of sound. It involves the precise timing of neural impulses or action potentials generated by the auditory nerve in response to sound stimuli.
When a low-frequency sound wave reaches the ear, it causes the basilar membrane in the cochlea (a spiral-shaped structure in the inner ear) to vibrate. This vibration is detected by specialized hair cells along the basilar membrane. The hair cells convert the mechanical vibrations into electrical signals, which are then transmitted to the auditory nerve.
In the case of low-frequency sounds, the temporal pattern of action potentials becomes particularly important for encoding. The timing of individual action potentials generated by the auditory nerve fibers carries information about the specific frequency and intensity of the sound wave.
For example, when a low-frequency sound wave repeats its cycle slowly, the auditory nerve fibers generate action potentials at regular intervals, corresponding to each cycle of the sound wave. The precise timing of these action potentials encodes the frequency of the sound wave.
The temporal coding of low-frequency sounds is based on phase locking, where the action potentials are synchronized with specific phases of the sound wave. By detecting and encoding the timing and phase relationships between the sound wave and the neural activity, the auditory system can accurately represent and discriminate different low-frequency sounds.
It is important to note that temporal coding is just one of the mechanisms used by the auditory system to encode sounds. Higher frequencies are predominantly encoded using a different mechanism called place coding, which relies on the tonotopic mapping of different frequencies along the cochlea. Together, temporal and place coding allow the auditory system to represent a wide range of sound frequencies and enable our perception of the complex auditory world.
To know more about temporal coding here
https://brainly.com/question/32314659
#SPJ4
(3 pt) Some light which is coming from the air (n=1) strikes a layer of water (n=1,3) on top of a pool of oil ( n=1.5) traveling straight downward. It reflects off and pick up a strong red (700 nm) tint. You wish to determine the thickness (T) of water that would cause this phenomenon. i. The path length difference for the red light is A. 0 B. 0.5 T C. T D. 1.5 T E. 2 T ii. The path length difference for the red light could be equal to A. 0 B. 0.5λ C. λ iii. with λ= A. 470 nm B. 540 nm C. 700 nm D. 910 nm E. 1050 nm
i. The path length difference for the red light is equal to D. 1.5 T. When light travels from one medium to another, it undergoes a change in speed and direction, resulting in the phenomenon of refraction. In this case, the light travels from air (n = 1) to water (n = 1.3) and then reflects off the water-oil interface.
To observe a strong red tint, we need to consider the interference between the incident and reflected light waves. For constructive interference to occur, the path length difference between the two waves must be an integer multiple of the wavelength of the red light (λ = 700 nm).Since the light travels downward and reflects back, the path length difference will be twice the thickness of the water layer (2T).
For constructive interference, the path length difference should be equal to an integer multiple of the wavelength. Therefore, 2T = 1.5λ, which gives us the path length difference for the red light as 1.5 T.ii. The path length difference for the red light could be equal to B. 0.5λ.Constructive interference can also occur when the path length difference is half of the wavelength (0.5λ). So, the path length difference for the red light could be 0.5λ.iii. with λ = C. 700 nm.In this case, the wavelength (λ) is given as 700 nm, which corresponds to the red light.
To learn more about interference visit
brainly.com/question/14701743
#SPJ11.
While an elevator of mass 2495 kg moves upward, the tension in the cabie is 31.7kN. Assume the elevator is supported by a single cable. Forces exerted by the guide rails and air resistance are negligible. What is the acceleration of the elevator? If the acceleration is in upward direction, enter a positive value and if the acceleration is in downward direction, enter a negative value.
The elevator is moving upward, the acceleration will be positive. Therefore, the acceleration of the elevator is approximately 0.2948 m/s² in the upward direction.
To find the acceleration of the elevator, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.
In this case, the net force acting on the elevator is the tension in the cable. The tension in the cable can be calculated using the formula:
Tension = mass × acceleration + weight
Since the elevator is moving upward, the weight of the elevator will act downward and can be calculated using the formula:
Weight = mass × gravitational acceleration
Here, the gravitational acceleration is approximately 9.8 m/s².
Given:
Mass of the elevator (m) = 2495 kg
Tension in the cable (Tension) = 31.7 kN = 31,700 N
We can now set up the equation:
Tension = mass × acceleration + weight
Plugging in the known values:
31,700 N = 2495 kg × acceleration + (2495 kg × 9.8 m/s²)
Now, let's solve for the acceleration:
31,700 N = 2495 kg × acceleration + (2495 kg × 9.8 m/s²)
31,700 N = 24460 kg × acceleration + 24460 N
To solve for acceleration, we need to isolate the term involving acceleration:
24460 kg × acceleration = 31,700 N - 24460 N
24460 kg × acceleration = 7210 N
Now, divide both sides by 24460 kg to solve for acceleration:
acceleration = 7210 N / 24460 kg
Calculating this value:
acceleration ≈ 0.2948 m/s²
Since the elevator is moving upward, the acceleration will be positive. Therefore, the acceleration of the elevator is approximately 0.2948 m/s² in the upward direction.
To know more about acceleration click here:
https://brainly.com/question/31946450
#SPJ11
Lifting a 74-kg barbell and weights from rest up to a speed of 1.0 m/s in 0.50 s, resisted by the combined weight of the barbell and weights, requires what applied force in N to two significant digits?
According to the question statement, we are given;
Mass of the barbell and weight, m = 74 kg
Speed of the barbell and weight, v = 1.0 m/s
Time taken to lift the barbell and weight, t = 0.50 s
The force required to lift the barbell and weight is given by,
F = m(v - u)/twhere u = 0 (initial velocity of the barbell and weight is at rest)
Substituting the given values in the above equation, we get;
F = (74 kg)(1.0 m/s - 0 m/s)/(0.50 s) = 148 N (upward force to two significant digits)
Therefore, the applied force required to lift the barbell and weights from rest up to a speed of 1.0 m/s in 0.50 s, resisted by the combined weight of the barbell and weights is 148 N to two significant digits.
To know more about statement visit :
https://brainly.com/question/33442046
#SPJ11
A resume is usually read for less than ____ seconds by an employer.
a. 10
b. 20
c. 30.
d. 40
A resume is usually read for less than C. 30 seconds by an employer.
A resume is a document that presents your educational qualifications, experiences, and achievements that have taken place throughout your academic career and professional life. This document is crucial in a job application process, and it plays a key role in determining whether an employer is interested in interviewing you or not. Thus, it is necessary to write a well-written and a concise resume that catches the employer's attention in less than 30 seconds. This is because most employers go through many job applications and they do not have much time to read every resume thoroughly.
Therefore, it is essential to organize and format the resume in such a way that the key information and skills stand out. In addition, it is necessary to customize the resume to fit the job requirements of each job application, this can be done by researching the company and the job position to determine what skills and qualifications the employer is looking for. In conclusion, it is crucial to ensure that the resume is well-written, organized, and customized to fit the employer's requirements. So the correct answer is C. 30.
Learn more about employer at:
https://brainly.com/question/31920624
#SPJ11
_____ are used to support gears and are machined precisely to accommodate bearings and individual gears.
Shafts are used to support gears and are machined precisely to accommodate bearings and individual gears.
Shafts play a critical role in gear systems as they provide the necessary support and alignment for the gears to function properly. They are typically cylindrical rods that are designed to transmit torque and rotational motion from one gear to another. In gear systems, the shafts are machined with precision to ensure accurate alignment and fit with bearings and gears. The shafts are often manufactured to tight tolerances to maintain proper gear meshing and minimize any undesirable play or misalignment. The ends of the shafts may be threaded or have specific features to secure bearings or other components in place. Shafts also require careful consideration of material selection to ensure sufficient strength and durability to handle the transmitted forces and torque. Common materials used for shafts include steel alloys, stainless steel, and various other high-strength materials depending on the specific application requirements. Overall, shafts are essential components in gear systems, providing the necessary support and precise fitment for gears and bearings, thereby enabling efficient and reliable transmission of power and rotational motion.
To learn more about Shafts, Click here:
https://brainly.com/question/33398387
#SPJ11
Question 9 (1 point) 4) Listen ▶ A crest with an amplitude of 20 cm meets a trough with an amplitude of 30 cm. The resultant waveform will be: a trough with an amplitude of 10 cm. a trough with an amplitude of 50 cm. a crest with an amplitude of 50 cm. a crest with an amplitude of 10 cm.
When a crest with an amplitude of 20 cm meets a trough with an amplitude of 30 cm, the resultant waveform will be a trough with an amplitude of 10 cm.A waveform is a graphical representation of the sound wave. Waveform displays wave properties, such as amplitude, wavelength, phase shift, and frequency, over time.
The amplitude of a wave is the distance from the centre line to the highest point of the wave. The distance from the centre line to the lowest point of the wave is equal to the amplitude of the trough. Amplitude is usually measured in decibels (dB) or volts. The amplitude of a waveform determines how loud or soft the sound is.
The frequency of a wave is the number of times it oscillates per second, and it is measured in hertz (Hz). A wave's wavelength is the distance between two crests or troughs, measured in meters or feet.
The time it takes for a wave to complete one full cycle is referred to as the period of the wave, measured in seconds. The period of a wave is determined by its frequency.
Learn more about amplitude here ;
https://brainly.com/question/9525052
#SPJ11
Required information A 5.50 cm by 2.50 cm parallel plate capacitor has the plates separated by a distance of 2.00 mm. When 4.00×10^−11 C of charge is placed on this capacitor, what is the electric field between the plates? V/m Required information A 5.50 cm by 2.50 cm parallel plate capacitor has the plates separated by a distance of 2.00 mm. If a dielectric with dielectric constant of 5.50 is placed between the plates while the charge on the capacitor is 4.00×10^−11 C, what is the electric field in the dielectric? V/m
a) The electric field between the plates of the parallel plate capacitor is approximately 3.79 x 10⁷ V/m.
b) The electric field in the dielectric of the parallel plate capacitor is approximately 6.89 x 10⁶ V/m.
a) To calculate the electric field between the plates of a parallel plate capacitor, we can use the formula:
E = Q / (ε₀ * A)
where E is the electric field, Q is the charge on the capacitor plates, ε₀ is the permittivity of free space (8.85 x 10⁻¹² F/m), and A is the area of the capacitor plates.
Charge on the capacitor plates (Q) = 4.00 x 10⁻¹¹ C
Area of the capacitor plates (A) = 5.50 cm x 2.50 cm = 0.055 m x 0.025 m = 0.001375 m²
Substituting the values into the formula:
E = (4.00 x 10⁻¹¹ C) / (8.85 x 10⁻¹² F/m * 0.001375 m²)
E ≈ 3.79 x 10⁷ V/m
Therefore, the electric field between the plates of the parallel plate capacitor is approximately 3.79 x 10⁷ V/m.
b) To calculate the electric field in the dielectric of a parallel plate capacitor with a dielectric constant, we can use the formula:
E = E₀ / εᵣ
where E₀ is the electric field in the absence of the dielectric and εᵣ is the relative permittivity (dielectric constant) of the material.
Charge on the capacitor plates (Q) = 4.00 x 10⁻¹¹ C
Area of the capacitor plates (A) = 5.50 cm x 2.50 cm = 0.055 m x 0.025 m = 0.001375 m²
Relative permittivity (εᵣ) = 5.50
From part a), we already calculated the electric field between the plates (E₀) as approximately 3.79 x 10⁷ V/m.
Substituting the values into the formula:
E = (3.79 x 10⁷ V/m) / (5.50)
E ≈ 6.89 x 10⁶ V/m
Therefore, the electric field in the dielectric of the parallel plate capacitor is approximately 6.89 x 10⁶ V/m.
To know more about parallel plate capacitor, refer to the link below:
https://brainly.com/question/30906246#
#SPJ11